Question

determine the angle of rotation. choose 1 answer: a $-105^circ$ b $-75^circ$ c $75^circ$ d $105^circ$

Explanation:

To determine the angle of rotation, we analyze the direction (clockwise or counterclockwise) and the magnitude. A negative angle typically represents a clockwise rotation, while a positive angle represents a counterclockwise rotation. However, without a diagram (showing the original and rotated figure), we assume a common scenario. If we consider the standard position (e.g., from a reference angle), let's recall that the angle of rotation can be calculated based on the difference in positions.

Wait, perhaps the problem is related to a figure (not shown here) where the rotation is clockwise by 75° (so -75°) or counterclockwise. But let's think about common angle rotations. If we have a rotation that is clockwise, the angle is negative. Let's check the options:

• Option A: -105° (clockwise 105°)
• Option B: -75° (clockwise 75°)
• Option C: 75° (counterclockwise 75°)
• Option D: 105° (counterclockwise 105°)

Assuming the figure (not shown) has a rotation that is clockwise by 75°, the angle of rotation would be -75°. So the correct answer is B. -75°.

A negative angle indicates clockwise rotation. Assuming the rotation is clockwise by 75°, the angle of rotation is \(-75^\circ\).

Answer:

B. \(-75^\circ\)